Use our free GCF of Fractions Calculator tool to compute the GCF of 937/447, 667/361 i.e 1/161367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/447, 667/361.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 937/447,667/361
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 937/447,667/361, numerators are 937,667
Denominators are 447,361
The GCF of 937,667 is 1 .
LCM of 447,361 is 161367.
The greatest common factor of 937/447,667/361 = [GCF of 937,667]/[LCM of 447,361]= 1/161367
Therefore, the GCF of 937/447,667/361 is 1/161367.
To find the highest common factor of 937,667, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 667 are 1, 23, 29, 667
The HCF of 937,667 is 1.
Lets's calculate GCF of 937,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 937
:1,937
Now, list down the factors of 667
:1,23,29,667
Greatest Common Factor
We found the factors 937,667 . The biggest common factor number is the GCF number.
So the greatest common factor 937,667 is 1.
Lets's calculate LCM of 447,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 161367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161367
Therefore, the GCF of Fractions 937/447,667/361 is 1/161367
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 447,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,361) x common factors =1 x 1 = 1
LCM(447,361) = ( 447 × 361 ) / 1
LCM(447,361) = 161367 / 1
LCM(447,361) = 161367
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 937,667?
The HCF of 937,667 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 937/447, 667/361?
Answer: GCF of Numerators as per given numbers 937/447, 667/361 is
GCF of Numerators i.e. for 937,667 is 1
LCM of denominators i.e. for 447,361 is 161367.
Thus, GCF of Fractions is 1/161367.Finally, GCF of Fractions for 937/447, 667/361 is 1/161367.